Use of Phase-Resolving Wave Models in Bathymetry Deduction
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We invert for the bathymetry under random shoaling waves using two different inverse techniques: direct inversion using Levenberg-Marquardt method and a variational inverse method. For both methods, we parameterize the bathymetry using the Bruun-Dean's profile. For the direct inversion, we first show that bathymetric parameters can be obtained with synthetic random wave data. Next, we perform the inversion to show that the bathymetry is obtained exactly using both the adjoint model and direct inversion methods.